Boson Models with Interactions of Arbitrary Order
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Quantum Physics arXiv:2606.04055 (quant-ph) [Submitted on 2 Jun 2026] Title:Boson Models with Interactions of Arbitrary Order Authors:P.
Van Isacker View a PDF of the paper titled Boson Models with Interactions of Arbitrary Order, by P.
Van Isacker View PDF HTML (experimental) Abstract:The paper considers quantal many-boson systems that are described by a rotationally invariant and boson-number conserving Hamiltonian. The properties of a generic model are studied which treats N bosons of p different kinds with non-zero angular momenta l_1,l_2,...,l_p, possibly augmented with a (number of) scalar s boson(s). The order k of the interaction between the bosons is arbitrary and closed formulas are given for matrix elements between N-boson states for any k if p=1 and p=2. A recursive procedure is defined for arbitrary k and p. With the expressions derived in the paper it is possible to express symbolically a Hamiltonian matrix element between N-boson states as a linear combination of k-body interaction matrix elements. More generally, the formulas allow the evaluation of matrix elements of tensor operators that are not necessarily scalar nor boson-number conserving. The numerical implementation of the formalism is discussed and illustrated with a few examples. Comments: Subjects: Quantum Physics (quant-ph); Nuclear Theory (nucl-th) Cite as: arXiv:2606.04055 [quant-ph] (or arXiv:2606.04055v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.04055 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Symmetry 18 (2026) 348 Related DOI: https://doi.org/10.3390/sym18020348 Focus to learn more DOI(s) linking to related resources Submission history From: Piet Van Isacker [view email] [v1] Tue, 2 Jun 2026 10:37:15 UTC (58 KB) Full-text links: Access Paper: View a PDF of the paper titled Boson Models with Interactions of Arbitrary Order, by P. Van IsackerView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 Change to browse by: nucl-th References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)